354140434020000 has 240 divisors, whose sum is σ = 1161708171513120. Its totient is φ = 94432838016000.

The previous prime is 354140434019959. The next prime is 354140434020019. The reversal of 354140434020000 is 20434041453.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a self number, because there is not a number n which added to its sum of digits gives 354140434020000.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 1331206999 + ... + 1331473001.

It is an arithmetic number, because the mean of its divisors is an integer number (4840450714638).

Almost surely, 2^{354140434020000} is an apocalyptic number.

354140434020000 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 354140434020000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (580854085756560).

354140434020000 is an abundant number, since it is smaller than the sum of its proper divisors (807567737493120).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

354140434020000 is a wasteful number, since it uses less digits than its factorization.

354140434020000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 288225 (or 288202 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 30.

Adding to 354140434020000 its reverse (20434041453), we get a palindrome (354160868061453).

The spelling of 354140434020000 in words is "three hundred fifty-four trillion, one hundred forty billion, four hundred thirty-four million, twenty thousand".